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Simplifying 3(-5x + 1) + 2x + 1 = 43 Reorder the terms: 3(1 + -5x) + 2x + 1 = 43 (1 * 3 + -5x * 3) + 2x + 1 = 43 (3 + -15x) + 2x + 1 = 43 Reorder the terms: 3 + 1 + -15x + 2x = 43 Combine like terms: 3 + 1 = 4 4 + -15x + 2x = 43 Combine like terms: -15x + 2x = -13x 4 + -13x = 43 Solving 4 + -13x = 43 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -13x = 43 + -4 Combine like terms: 4 + -4 = 0 0 + -13x = 43 + -4 -13x = 43 + -4 Combine like terms: 43 + -4 = 39 -13x = 39 Divide each side by '-13'. x = -3 Simplifying x = -3
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